Trapezoid DEFG is dilated according to the rule DO,4(x, y) to form the image trapezoid D'E'F'G', which is shown on the graph.

On a coordinate plane, trapezoid D prime E prime F prime G prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4).

What are the coordinates of point G of the pre-image?

(-2, 1)
(-4, 2)
(-12, 0)
(-32, 16)

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.